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Finding the Fourth Proportional to 255,938.80, 384,224.10 and 161,168.80

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Solution

The fourth proportional to 255,938.80, 384,224.10 and 161,168.80 is: 241,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,938.80 : 384,224.10 = 161,168.80 : x
  2. Step 2: Convert to fraction form
    255,938.80/384,224.10 = 161,168.80/x
  3. Step 3: Cross multiply
    255,938.80x = 384,224.10 × 161,168.80
  4. Step 4: Simplify right side
    255,938.80x = 61,924,937,128.08
  5. Step 5: Solve for x
    x = 61,924,937,128.08/255,938.80
  6. Step 6: Final answer
    x = 241,952.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.